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math.FA2021★ 2 cited
Centro-Affine Differential Geometry and the Log-Minkowski Problem
Emanuel Milman
We interpret the log-Brunn-Minkowski conjecture of Böröczky-Lutwak-Yang-Zhang as a spectral problem in centro-affine differential geometry. In particular, we show that the Hilbert-…
math.FA2021★ 2 cited
A sharp centro-affine isospectral inequality of Szegö--Weinberger type and the -Minkowski problem
Emanuel Milman
We establish a sharp upper-bound for the first non-zero even eigenvalue (corresponding to an even eigenfunction) of the Hilbert-Brunn-Minkowski operator associated to a strongly co…